linate planes. The opposite point P(r, y, z) is constrained to lie on the paraboloid r2 + y² + z = 1. Whi the box of greatest volume? Show that this problem leads to maximizing f(r, y, 2) = ry – r®y – ry³ Find the critical point of f in the first octant. Identity the nature of the critical point using the second derivative test and find the maximum of f in the

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A: we first distribute the equation, Then combine like term on same side.

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A: Solution:

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A: Given:

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